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Wide Flange Steel I Beam: W6 × 15
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Glossary » Beams » Simply Supported » Uniformly Distributed Load » Three Equal Spans » Wide Flange Steel I Beam » W6 × 15
Wide Flange Steel I Beam | Single Span | Two Equal Spans | Three Equal Spans | Four Equal Spans

For a simply supported beam in three equal spans, we compute the displacement at the middle of the first and the third span and the maximum normal stress stress_max occuring at the second and third support of the beam.
The tabulated data listed in this page are calculated based on the area moment of inertia (Ixx = 29.1 in4) for the W6 × 15 Wide Flange Steel I Beam and the typical Young's modulus (E = 3.046 × 107 psi) of steels. Note that the typical yielding stress Yield of steels can range from 1.015 × 104 to 2.970 × 105 psi. The purpose of this page is to give a rough estimation of the load-bearing capacity of this particular beam, rather than a guideline for designing actual building structures. Please check your local building codes for regulatory requirements.

Note: The weight of the beam itself is not included in the calculation.
L = 3 ft
L = 5 ft
L = 10 ft
L = 15 ft
L = 20 ft
L = 25 ft
L = 30 ft
L = 40 ft
L = 50 ft
L = 60 ft
L = 70 ft
   
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 3.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 1.61 × 10-5 16.7
20.0 2.15 × 10-5 22.2
30.0 3.22 × 10-5 33.3
40.0 4.30 × 10-5 44.5
50.0 5.37 × 10-5 55.6
60.0 6.44 × 10-5 66.7
70.0 7.52 × 10-5 77.8
80.0 8.59 × 10-5 88.9
90.0 9.66 × 10-5 100
100 1.07 × 10-4 111
200 2.15 × 10-4 222
300 3.22 × 10-4 333
400 4.30 × 10-4 445
500 5.37 × 10-4 556
600 6.44 × 10-4 667
700 7.52 × 10-4 778
800 8.59 × 10-4 889
900 9.66 × 10-4 1000
1000 0.00107 1110
2000 0.00215 2220
3000 0.00322 3330
4000 0.00430 4450
5000 0.00537 5560
6000 0.00644 6670
7000 0.00752 7780
8000 0.00859 8890
9000 0.00966 1.00 × 104
1.00 × 104 0.0107 1.11 × 104
2.00 × 104 0.0215 2.22 × 104
3.00 × 104 0.0322 3.33 × 104
4.00 × 104 0.0430 4.45 × 104
5.00 × 104 0.0537 5.56 × 104
6.00 × 104 0.0644 6.67 × 104
7.00 × 104 0.0752 7.78 × 104
8.00 × 104 0.0859 8.89 × 104
9.00 × 104 0.0966 1.00 × 105
1.00 × 105 0.107 1.11 × 105
2.00 × 105 0.215 2.22 × 105
2.67 × 105 0.287 2.97 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 5.00 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 1.24 × 10-4 46.3
20.0 1.66 × 10-4 61.8
30.0 2.49 × 10-4 92.6
40.0 3.31 × 10-4 124
50.0 4.14 × 10-4 154
60.0 4.97 × 10-4 185
70.0 5.80 × 10-4 216
80.0 6.63 × 10-4 247
90.0 7.46 × 10-4 278
100 8.29 × 10-4 309
200 0.00166 618
300 0.00249 926
400 0.00331 1240
500 0.00414 1540
600 0.00497 1850
700 0.00580 2160
800 0.00663 2470
900 0.00746 2780
1000 0.00829 3090
2000 0.0166 6180
3000 0.0249 9260
4000 0.0331 1.24 × 104
5000 0.0414 1.54 × 104
6000 0.0497 1.85 × 104
7000 0.0580 2.16 × 104
8000 0.0663 2.47 × 104
9000 0.0746 2.78 × 104
1.00 × 104 0.0829 3.09 × 104
2.00 × 104 0.166 6.18 × 104
3.00 × 104 0.249 9.26 × 104
4.00 × 104 0.331 1.24 × 105
5.00 × 104 0.414 1.54 × 105
6.00 × 104 0.497 1.85 × 105
7.00 × 104 0.580 2.16 × 105
8.00 × 104 0.663 2.47 × 105
9.00 × 104 0.746 2.78 × 105
9.62 × 104 0.797 2.97 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 10.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.00199 185
20.0 0.00265 247
30.0 0.00398 371
40.0 0.00530 494
50.0 0.00663 618
60.0 0.00795 741
70.0 0.00928 865
80.0 0.0106 988
90.0 0.0119 1110
100 0.0133 1240
200 0.0265 2470
300 0.0398 3710
400 0.0530 4940
500 0.0663 6180
600 0.0795 7410
700 0.0928 8650
800 0.106 9880
900 0.119 1.11 × 104
1000 0.133 1.24 × 104
2000 0.265 2.47 × 104
3000 0.398 3.71 × 104
4000 0.530 4.94 × 104
5000 0.663 6.18 × 104
6000 0.795 7.41 × 104
7000 0.928 8.65 × 104
8000 1.06 9.88 × 104
9000 1.19 1.11 × 105
1.00 × 104 1.33 1.24 × 105
2.00 × 104 2.65 2.47 × 105
2.41 × 104 3.19 2.97 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 15.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0101 417
20.0 0.0134 556
30.0 0.0201 834
40.0 0.0268 1110
50.0 0.0336 1390
60.0 0.0403 1670
70.0 0.0470 1950
80.0 0.0537 2220
90.0 0.0604 2500
100 0.0671 2780
200 0.134 5560
300 0.201 8340
400 0.268 1.11 × 104
500 0.336 1.39 × 104
600 0.403 1.67 × 104
700 0.470 1.95 × 104
800 0.537 2.22 × 104
900 0.604 2.50 × 104
1000 0.671 2.78 × 104
2000 1.34 5.56 × 104
3000 2.01 8.34 × 104
4000 2.68 1.11 × 105
5000 3.36 1.39 × 105
6000 4.03 1.67 × 105
7000 4.70 1.95 × 105
8000 5.37 2.22 × 105
8920 5.99 2.48 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 20.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0318 741
20.0 0.0424 988
30.0 0.0636 1480
40.0 0.0848 1980
50.0 0.106 2470
60.0 0.127 2960
70.0 0.148 3460
80.0 0.170 3950
90.0 0.191 4450
100 0.212 4940
200 0.424 9880
300 0.636 1.48 × 104
400 0.848 1.98 × 104
500 1.06 2.47 × 104
600 1.27 2.96 × 104
700 1.48 3.46 × 104
800 1.70 3.95 × 104
900 1.91 4.45 × 104
1000 2.12 4.94 × 104
2000 4.24 9.88 × 104
2820 5.99 1.40 × 105
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 25.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.0777 1160
20.0 0.104 1540
30.0 0.155 2320
40.0 0.207 3090
50.0 0.259 3860
60.0 0.311 4630
70.0 0.363 5400
80.0 0.414 6180
90.0 0.466 6950
100 0.518 7720
200 1.04 1.54 × 104
300 1.55 2.32 × 104
400 2.07 3.09 × 104
500 2.59 3.86 × 104
600 3.11 4.63 × 104
700 3.63 5.40 × 104
800 4.14 6.18 × 104
900 4.66 6.95 × 104
1000 5.18 7.72 × 104
1160 5.99 8.93 × 104
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 30.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.161 1670
20.0 0.215 2220
30.0 0.322 3330
40.0 0.430 4450
50.0 0.537 5560
60.0 0.644 6670
70.0 0.752 7780
80.0 0.859 8890
90.0 0.966 1.00 × 104
100 1.07 1.11 × 104
200 2.15 2.22 × 104
300 3.22 3.33 × 104
400 4.30 4.45 × 104
500 5.37 5.56 × 104
558 5.99 6.20 × 104
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 40.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 0.509 2960
20.0 0.679 3950
30.0 1.02 5930
40.0 1.36 7900
50.0 1.70 9880
60.0 2.04 1.19 × 104
70.0 2.38 1.38 × 104
80.0 2.72 1.58 × 104
90.0 3.05 1.78 × 104
100 3.39 1.98 × 104
176 5.99 3.49 × 104
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 50.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 1.24 4630
20.0 1.66 6180
30.0 2.49 9260
40.0 3.31 1.24 × 104
50.0 4.14 1.54 × 104
60.0 4.97 1.85 × 104
70.0 5.80 2.16 × 104
72.3 5.99 2.23 × 104
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 60.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 2.58 6670
20.0 3.44 8890
30.0 5.15 1.33 × 104
34.9 5.99 1.55 × 104
Steel I Beam: W6 × 15 (Wide Flange 6 inch tall × 15 lbf/ft)
L = 70.0 ft
P (lbf/ft) w_max (in) stress_max (psi)
15.0 4.77 9080
18.8 5.99 1.14 × 104
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